Answer: To eliminate x in the system of linear equations, multiply equation 1 by 4 and multiply equation 2 by 5, then subtract both equations.
How to Solve a System of Equations?
Given the system of linear equations as:
Equation 1: 5x − 2y = 10
Equation 2: 4x − 3y = 15
To eliminate x in the system of equations given above, multiply equation 1 by 4 and multiply equation 2 by 5
× 4 Equation 1: 5x − 2y = 10
× 5 Equation 2: 4x − 3y = 15
20x − 8y = 40
20x − 25y = 75
Subtract both equations to eliminate x
17y = -35
In summary, to eliminate x in the system of linear equations, multiply equation 1 by 4 and multiply equation 2 by 5, then subtract both equations.
Explanation: